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Finding the Third Proportional to 51,036 and 76,605

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Solution

The third proportional to 51,036 and 76,605 is: 114,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,036 : 76,605 = 76,605 : x
  2. Step 2: Convert to fraction form
    51,036/76,605 = 76,605/x
  3. Step 3: Cross multiply
    51,036x = 76,605 × 76,605
  4. Step 4: Simplify right side
    51,036x = 5,868,326,025
  5. Step 5: Solve for x
    x = 5,868,326,025/51,036
  6. Step 6: Final answer
    x = 114,984.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.